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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Sun, 14 Dec 2008 02:34:22 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/14/t1229247320jqx7t5z6b7i7xzs.htm/, Retrieved Wed, 15 May 2024 05:41:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33248, Retrieved Wed, 15 May 2024 05:41:23 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

201

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [Paper scaterplot ...] [2008-12-12 11:08:24] [b6c777429d07a05453509ef079833861]
-    D  [Univariate Data Series] [paper - scatterpl...] [2008-12-12 15:18:44] [b6c777429d07a05453509ef079833861]
- RMPD      [Standard Deviation-Mean Plot] [paper - inflatie ...] [2008-12-14 09:34:22] [1828943283e41f5e3270e2e73d6433b4] [Current]

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Dataseries X:

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Histogram

Boxplots

2.9
2.9
2.9
1.4
1.1
1.9
2.8
1.4
0.7
-0.8
-3.1
0.1
1
1.9
-0.5
1.5
3.9
1.9
2.6
1.7
1.4
2.8
0.5
1
1.5
1.8
2.7
3
-0.3
1.1
1.7
1.6
3
3.3
6.7
5.6
6
4.8
5.9
4.3
3.7
5.6
1.7
3.2
3.6
1.7
0.5
2.1
1.5
2.7
1.4
1.2
2.3
1.6
4.7
3.5
4.4
3.9
3.5
3

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33248&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33248&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33248&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1.18333333333333	1.80294372086487	6
2	1.64166666666667	1.13974345864109	4.4
3	2.64166666666667	1.92894617170447	7
4	3.59166666666667	1.81481696213712	5.5
5	2.80833333333333	1.21764178441425	3.5

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 1.18333333333333 & 1.80294372086487 & 6 \tabularnewline
2 & 1.64166666666667 & 1.13974345864109 & 4.4 \tabularnewline
3 & 2.64166666666667 & 1.92894617170447 & 7 \tabularnewline
4 & 3.59166666666667 & 1.81481696213712 & 5.5 \tabularnewline
5 & 2.80833333333333 & 1.21764178441425 & 3.5 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33248&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]1.18333333333333[/C][C]1.80294372086487[/C][C]6[/C][/ROW]
[ROW][C]2[/C][C]1.64166666666667[/C][C]1.13974345864109[/C][C]4.4[/C][/ROW]
[ROW][C]3[/C][C]2.64166666666667[/C][C]1.92894617170447[/C][C]7[/C][/ROW]
[ROW][C]4[/C][C]3.59166666666667[/C][C]1.81481696213712[/C][C]5.5[/C][/ROW]
[ROW][C]5[/C][C]2.80833333333333[/C][C]1.21764178441425[/C][C]3.5[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33248&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33248&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	1.18333333333333	1.80294372086487	6
2	1.64166666666667	1.13974345864109	4.4
3	2.64166666666667	1.92894617170447	7
4	3.59166666666667	1.81481696213712	5.5
5	2.80833333333333	1.21764178441425	3.5

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.40176790910189
beta	0.0754426308077807
S.D.	0.218743569726242
T-STAT	0.344890736226886
p-value	0.752940223783243

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 1.40176790910189 \tabularnewline
beta & 0.0754426308077807 \tabularnewline
S.D. & 0.218743569726242 \tabularnewline
T-STAT & 0.344890736226886 \tabularnewline
p-value & 0.752940223783243 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33248&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]1.40176790910189[/C][/ROW]
[ROW][C]beta[/C][C]0.0754426308077807[/C][/ROW]
[ROW][C]S.D.[/C][C]0.218743569726242[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.344890736226886[/C][/ROW]
[ROW][C]p-value[/C][C]0.752940223783243[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33248&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33248&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	1.40176790910189
beta	0.0754426308077807
S.D.	0.218743569726242
T-STAT	0.344890736226886
p-value	0.752940223783243

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.380297863402229
beta	0.0680597646587979
S.D.	0.318485053733178
T-STAT	0.213698457309138
p-value	0.844481819374532
Lambda	0.931940235341202

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 0.380297863402229 \tabularnewline
beta & 0.0680597646587979 \tabularnewline
S.D. & 0.318485053733178 \tabularnewline
T-STAT & 0.213698457309138 \tabularnewline
p-value & 0.844481819374532 \tabularnewline
Lambda & 0.931940235341202 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33248&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]0.380297863402229[/C][/ROW]
[ROW][C]beta[/C][C]0.0680597646587979[/C][/ROW]
[ROW][C]S.D.[/C][C]0.318485053733178[/C][/ROW]
[ROW][C]T-STAT[/C][C]0.213698457309138[/C][/ROW]
[ROW][C]p-value[/C][C]0.844481819374532[/C][/ROW]
[ROW][C]Lambda[/C][C]0.931940235341202[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33248&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33248&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	0.380297863402229
beta	0.0680597646587979
S.D.	0.318485053733178
T-STAT	0.213698457309138
p-value	0.844481819374532
Lambda	0.931940235341202

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code